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Finding the Fourth Proportional to 967.65, 1,449.05 and 751.38

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Solution

The fourth proportional to 967.65, 1,449.05 and 751.38 is: 1,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.65 : 1,449.05 = 751.38 : x
  2. Step 2: Convert to fraction form
    967.65/1,449.05 = 751.38/x
  3. Step 3: Cross multiply
    967.65x = 1,449.05 × 751.38
  4. Step 4: Simplify right side
    967.65x = 1,088,783.43
  5. Step 5: Solve for x
    x = 1,088,783.43/967.65
  6. Step 6: Final answer
    x = 1,125.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.